Introduction to numerical and analytical methods with MATLAB for engineers and scientists /
Includes bibliographical references and indexes
| Main Author: | |
|---|---|
| Format: | |
| Language: | eng |
| Published: |
Boca Raton, FL. : CRC Press,
2014
|
| Subjects: |
| _version_ | 1826456878968733696 |
|---|---|
| author | Bober, William, 1930- |
| author_facet | Bober, William, 1930- |
| author_sort | Bober, William, 1930- |
| collection | OCEAN |
| description | Includes bibliographical references and indexes |
| first_indexed | 2024-03-05T13:28:53Z |
| format | |
| id | KOHA-OAI-TEST:499618 |
| institution | Universiti Teknologi Malaysia - OCEAN |
| language | eng |
| last_indexed | 2024-03-05T13:28:53Z |
| publishDate | 2014 |
| publisher | Boca Raton, FL. : CRC Press, |
| record_format | dspace |
| spelling | KOHA-OAI-TEST:4996182020-12-19T17:18:28ZIntroduction to numerical and analytical methods with MATLAB for engineers and scientists / Bober, William, 1930- Boca Raton, FL. : CRC Press,2014engIncludes bibliographical references and indexes Heat Transfer I -- 13.2.3.Unsteady Heat Transfer in 2-D -- 13.3.Review of Finite-Difference Formulas -- 13.4.Finite- Difference Methods Applied to Partial Differential Equations -- 13.4.1.Explicit Method -- 13.4.2.Implicit Method -- 13.5.The Gauss -- Seidel Method -- Projects -- 14.Laplace Transforms -- 14.1.Introduction -- 14.2.Laplace Transform and Inverse Transform -- 14.3.Transforms of Derivatives -- 14.4.Ordinary Differential Equations, Initial Value Problem -- 14.5.MATLABʼ's residue Function -- 14.6.Unit Step Function -- 14.7.Convolution -- 14.8.Laplace Transforms Applied to Circuits -- 14.9.Delta Function -- 14.10.Laplace Transforms Applied to Partial Differential Equations -- Projects -- ReferencesMachine generated contents note: 1.Computer Programming with MATLABʼ for Engineers -- 1.1.Introduction -- 1.2.Computer Usage in Engineering -- 1.3.Mathematical Model -- 1.4.Computer Programming -- 1.5.Why MATLABʼ? -- 1.6.Programming Methodologies -- 1.7.MATLABʼ Programming Language -- 1.8.Building Blocks in Writing a Program -- 1.9.Conventions in This Book -- 1.10.Example Programs -- 2.MATLABʼ Fundamentals -- 2.1.Introduction -- 2.2.MATLABʼ Desktop -- 2.3.Constructing a Program in MATLABʼ -- 2.4.MATLABʼ Fundamentals -- 2.5.MATLABʼ Input/Output -- 2.5.1.Output -- 2.5.2.Input -- 2.6.Loops -- 2.7.MATLABʼ Graphics -- 2.8.Conditional Operators and Alternate Paths -- 2.9.Working with Built-In Functions with Vector Arguments -- 2.10.More on MATLABʼ Graphics -- 2.11.Debugging a Program -- Projects -- References -- 3.Taylor Series, Self-Written Functions and MATLABʼ's interp1 Function -- 3.1.Introduction -- 3.2.Functions Expressed as a Series -- 3.3.Self-Written Functions -- 3.4.Anonymous Functions -- 3.5.MATLABʼ's interpl Function -- 3.6.Working with Characters and Strings -- Projects -- References -- 4.Matrices -- 4.1.Introduction -- 4.2.MatrixOperations -- 4.3.System of Linear Equations -- 4.4.Statics Truss Problem -- 4.5.Resistive Circuit Problem -- 4.6.Gauss Elimination -- 4.7.Gauss -- Jordan Method -- 4.8.Number of Solutions -- 4.9.Inverse Matrix -- 4.10.Eigenvalue Problem in Mechanical Vibrations -- 4.11.Eigenvalue Problem in Electrical Circuits -- Projects -- Reference -- 5.Roots of Algebraic and Transcendental Equations -- 5.1.Introduction -- 5.2.The Search Method -- 5.3.Bisection Method -- 5.4.Newton -- Raphson Method -- 5.5.MATLABʼ's Root-Finding Functions -- 5.5.1.fzero Function -- 5.5.2.roots Function -- Projects -- Reference -- 6.Numerical Integration -- 6.1.Introduction -- 6.2.Numerical Integration with the Trapezoidal Rule -- 6.3.Numerical Integration and Simpson's Rule -- 6.4.Improper Integrals -- 6.5.MATLABʼ's quad Function -- 6.6.MATLABʼ's dblquad Function -- Projects -- 7.Numerical Integration of Ordinary Differential Equations -- 7.1.Introduction -- 7.2.Initial Value Problem -- 7.3.EulerAlgorithm -- 7.4.Modified Euler Method with Predictor -- Corrector Algorithm -- 7.5.Fourth-Order Runge -- Kutta Method -- 7.6.System of Two First-Order Differential Equations -- 7.7.Single Second-Order Equation -- 7.8.MATLABʼ's ODE Function -- Projects -- 8.Boundary Value Problems of Ordinary Differential Equations -- 8.1.Introduction -- 8.2.Difference Formulas -- 8.3.Solution of a Tri-Diagonal System of Linear Equations -- Projects -- 9.Curve Fitting -- 9.1.Introduction -- 9.2.Method of Least Squares -- 9.2.1.Best-Fit Straight Line -- 9.2.2.Best-Fit mth-Degree Polynomial -- 9.3.Curve Fitting with the Exponential Function -- 9.4.MATLABʼ's Curve Fitting Functions -- 9.5.Cubic Splines -- 9.6.MATLABʼ's Cubic Spline Curve Fitting Function -- 9.7.Curve Fitting with Fourier Series -- Projects -- 10.Simulinkʼ -- 10.1.Introduction -- 10.2.Creating a Model in Simulinkʼ -- 10.3.Typical Building Blocks in Constructing a Model -- 10.4.Tips for Constructing and Running Models -- 10.5.Constructing a Subsystem -- 10.6.Using the Mux and Fcn Blocks -- 10.7.Using the Transfer Fcn Block -- 10.8.Using the Relay and Switch Blocks -- 10.9.Trigonometric Function Blocks -- 10.10.To Workspace Block -- Projects -- Reference -- 11.Optimization -- 11.1.Introduction -- 11.2.Unconstrained Optimization Problems -- 11.3.Method of Steepest Descent -- 11.4.MATLABʼ's fminbnd and fminsearch Functions -- 11.5.Optimization with Constraints -- 11.6.Lagrange Multipliers -- 11.7.MATLABʼ's fmincon Function -- Projects -- Reference -- 12.Iteration Method -- 12.1.Introduction -- 12.2.Iteration in Pipe Flow Analysis -- 12.3.Hardy -- Cross Method -- Projects -- References -- 13.Partial Differential Equations -- 13.1.Classification of Partial Differential Equations -- 13.2.Solution by Separation of Variables -- 13.2.1.Vibrating String -- 13.2.2.UnsteadyPSZJBLMATLABEngineering mathematicsNumerical analysisURN:ISBN:9781466576025 (hbk.) |
| spellingShingle | MATLAB Engineering mathematics Numerical analysis Bober, William, 1930- Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title | Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title_full | Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title_fullStr | Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title_full_unstemmed | Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title_short | Introduction to numerical and analytical methods with MATLAB for engineers and scientists / |
| title_sort | introduction to numerical and analytical methods with matlab for engineers and scientists |
| topic | MATLAB Engineering mathematics Numerical analysis |
| work_keys_str_mv | AT boberwilliam1930 introductiontonumericalandanalyticalmethodswithmatlabforengineersandscientists |